WBJEE · Physics · Kinetic Theory of Gases
The rms speed of oxygen is \(v\) at a particular temperature. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed becomes
- A v
- B \(\sqrt{2} v\)
- C \(2v\)
- D \(4 v\)
Answer & Solution
Correct Answer
(C) \(2v\)
Step-by-step Solution
Detailed explanation
As the rms speed is given by \[ \begin{aligned} & v_{\text {rms }}=\sqrt{\frac{3 R T}{M}}{V_{\text {ms }}} \propto \sqrt{\frac{T}{M}} \end{aligned} \] When temperature is doubled and molecules dissociates into atoms, then…
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